IBPS Clerk Main: Quants Day 18

Hello Aspirants,

Welcome to Online Quant Section in AffairsCloud.com. We are starting IBPS Clerk course 2015 and we are creating sample questions in Quantitative Aptitude section, type of which will be asked in IBPS Clerk Main Exam.

Stratus – IBPS Clerk Course 2015 

• IBPS Clerk Daily Test Questions
• IBPS Clerk Practice Test Questions

[flipclock]

1. 5x² + 17x – 12 = 0, 5y² – 18y + 9 = 0
   A) x > y
   B) x < y
   C) x ≥ y
   D) x ≤ y
   E) x = y or relationship cannot be determined
   
   Answer & Explanation

   D) x ≤ y
   Explanation:
   5x² + 17x – 12 = 0
   5x² + 20x – 3x – 12 = 0
   Gives x = -4, 3/5
   5y² – 18y + 9 = 0
   5y² – 15y – 3y + 9 = 0
   Gives y = 3/5, 3
   Put on number line
   -4          3/5               3
   
   
2. 3x² + 14x + 8 = 0, 3y² – 4y – 4 = 0
   A) x > y
   B) x < y
   C) x ≥ y
   D) x ≤ y
   E) x = y or relationship cannot be determined
   
   Answer & Explanation

   D) x ≤ y
   Explanation:
   3x² + 14x + 8 = 0
   3x² + 12x + 2x + 8 = 0
   Gives x = -4, -2/3
   3y² – 4y – 4 = 0
   3y² – 6y + 2y – 4 = 0
   Gives y = -2/3, 2
   Put on number line
   -4       -2/3         2
   
   
3. x = √1849, y² = 1156
   A) x > y
   B) x < y
   C) x ≥ y
   D) x ≤ y
   E) x = y or relationship cannot be determined
   
   Answer & Explanation

   A) x > y
   Explanation:
   x = √1849
   Gives, x = 43
   y² = 1156
   Gives y = -34, 34
   Put on number line
   -34          34              43
   
   
4. 4x + 5y = 75, 5x + 4y = 69
   A) x > y
   B) x < y
   C) x ≥ y
   D) x ≤ y
   E) x = y or relationship cannot be determined
   
   Answer & Explanation

   B) x < y
   Explanation:
   Multiply first equation by 4 and second by 5 and subtract
   16x + 20y = 300, 25x + 20y = 345
   Subtract
   -9x = -45
   Gives x = 5
   Put x = 5 in one of the given equations, and find y
   4(5) + 5y = 75
   Gives y = 11
   Put on number line
   5      11
   
   
5. 6x² – 5x – 6 = 0, 3y² – 7y – 6 = 0
   A) x > y
   B) x < y
   C) x ≥ y
   D) x ≤ y
   E) x = y or relationship cannot be determined
   
   Answer & Explanation

   E) x = y or relationship cannot be determined
   Explanation:
   6x² – 5x – 6 = 0
   6x² – 9x + 4x – 6 = 0
   Gives, x = -2/3, 3/2
   3y² – 7y – 6 = 0
   3y² – 9y + 2y – 6 = 0
   Gives, y = -2/3, 3
   Put on number line
   -2/3           3/2            3
   When x = -2/3, x ≤ y
   When x = 3/2, x > y(-2/3) and also x < y(3)
   No so relationship.
   
   

DIRECTIONS (6 – 10) : These questions are to be answered on the basis of the pie chart given below showing how a person’s monthly salary is distributed over different expense heads.

6. For a person, whose monthly salary is Rs 6,000, how many items are there on which he has to spend more than Rs 1,000 per month ?
   A) None
   B) 1
   C) 2
   D) 3
   E) 4
   
   Answer & Explanation

   C) 2
   Explanation:
   Shortcut-
   (x/100)*6000 = 1000, gives x = 16.67%
   So the ones having more expense % than 16.67% which is house rent and savings
   
   
7. The annual saving for such a person will be approximately:
   A) Rs 15050
   B) Rs 16560
   C) Rs 15500
   D) Rs 16500
   E) None of these
   
   Answer & Explanation

   B) Rs 16560
   Explanation:
   Savings over month = (23/100)*6000 = 1380
   So annually = 1380*12 = 16560
   
   
   
8. The monthly salary for a person who follows the same expense pattern, but has a petrol expense of Rs 500 per month is
   A) Rs 2500
   B) Rs 3500
   C) Rs 5000
   D) Rs 6500
   E) Rs 6600
   
   Answer & Explanation

   C) Rs 5000
   Explanation:
   (10/100)*x = 500
   
   
9. If the monthly salary of a person is Rs 12,000, then approximately by how much % is his expenses on entertainment more than on clothes?
   A) 96%
   B) 114%
   C) 120%
   D) 83%
   E) None of these
   
   Answer & Explanation

   B) 114%
   Explanation:
   Exp. on enter. = (15/100)*12,000 = 1800
   Exp. on clothes = (7/100)*12,000 = 840
   Required % = (1800-840)/840 * 100
   
   
10. The angle made at the centre of the pie chart by the sector representing the expense on food is :
    A) 30^o
    B) 45^o
    C) 54^o
    D) 75^o
    E) 90^o
    
    Answer & Explanation

    C) 54^o
    Explanation:
    (15/100)*360 = 54